Properties

Label 300.2.r.a.59.17
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 59.17
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.921818 - 1.07250i) q^{2} +(-0.0653839 - 1.73082i) q^{3} +(-0.300505 + 1.97730i) q^{4} +(2.14307 + 0.638169i) q^{5} +(-1.79603 + 1.66562i) q^{6} -4.06778 q^{7} +(2.39766 - 1.50042i) q^{8} +(-2.99145 + 0.226335i) q^{9} +O(q^{10})\) \(q+(-0.921818 - 1.07250i) q^{2} +(-0.0653839 - 1.73082i) q^{3} +(-0.300505 + 1.97730i) q^{4} +(2.14307 + 0.638169i) q^{5} +(-1.79603 + 1.66562i) q^{6} -4.06778 q^{7} +(2.39766 - 1.50042i) q^{8} +(-2.99145 + 0.226335i) q^{9} +(-1.29108 - 2.88671i) q^{10} +(-2.61080 - 1.89685i) q^{11} +(3.44198 + 0.390835i) q^{12} +(-3.55251 - 4.88961i) q^{13} +(3.74975 + 4.36268i) q^{14} +(0.964431 - 3.75098i) q^{15} +(-3.81939 - 1.18837i) q^{16} +(0.528103 - 1.62533i) q^{17} +(3.00032 + 2.99968i) q^{18} +(-2.49211 - 0.809734i) q^{19} +(-1.90585 + 4.04571i) q^{20} +(0.265967 + 7.04058i) q^{21} +(0.372305 + 4.54863i) q^{22} +(2.71745 - 3.74024i) q^{23} +(-2.75371 - 4.05180i) q^{24} +(4.18548 + 2.73528i) q^{25} +(-1.96933 + 8.31739i) q^{26} +(0.587337 + 5.16285i) q^{27} +(1.22239 - 8.04320i) q^{28} +(-2.01761 + 0.655560i) q^{29} +(-4.91195 + 2.42337i) q^{30} +(1.77466 + 0.576623i) q^{31} +(2.24626 + 5.19176i) q^{32} +(-3.11240 + 4.64283i) q^{33} +(-2.22998 + 0.931871i) q^{34} +(-8.71752 - 2.59593i) q^{35} +(0.451413 - 5.98299i) q^{36} +(-1.36655 - 1.88089i) q^{37} +(1.42883 + 3.41921i) q^{38} +(-8.23074 + 6.46845i) q^{39} +(6.09586 - 1.68538i) q^{40} +(4.31762 + 5.94269i) q^{41} +(7.30583 - 6.77538i) q^{42} +5.20326 q^{43} +(4.53520 - 4.59230i) q^{44} +(-6.55532 - 1.42400i) q^{45} +(-6.51640 + 0.533367i) q^{46} +(3.27488 - 1.06407i) q^{47} +(-1.80713 + 6.68837i) q^{48} +9.54682 q^{49} +(-0.924667 - 7.01035i) q^{50} +(-2.84768 - 0.807778i) q^{51} +(10.7358 - 5.55501i) q^{52} +(-2.20348 - 6.78162i) q^{53} +(4.99573 - 5.38913i) q^{54} +(-4.38460 - 5.73122i) q^{55} +(-9.75313 + 6.10336i) q^{56} +(-1.23856 + 4.36632i) q^{57} +(2.56295 + 1.55957i) q^{58} +(9.81893 - 7.13387i) q^{59} +(7.12698 + 3.03415i) q^{60} +(-4.99307 - 3.62768i) q^{61} +(-1.01749 - 2.43486i) q^{62} +(12.1686 - 0.920681i) q^{63} +(3.49751 - 7.19496i) q^{64} +(-4.49287 - 12.7459i) q^{65} +(7.84850 - 0.941799i) q^{66} +(-0.983181 + 3.02592i) q^{67} +(3.05507 + 1.53263i) q^{68} +(-6.65135 - 4.45885i) q^{69} +(5.25184 + 11.7425i) q^{70} +(1.67431 + 5.15300i) q^{71} +(-6.83287 + 5.03109i) q^{72} +(-1.58017 + 2.17491i) q^{73} +(-0.757544 + 3.19946i) q^{74} +(4.46060 - 7.42314i) q^{75} +(2.34997 - 4.68430i) q^{76} +(10.6201 + 7.71598i) q^{77} +(14.5246 + 2.86473i) q^{78} +(-2.42335 + 0.787395i) q^{79} +(-7.42684 - 4.98418i) q^{80} +(8.89754 - 1.35414i) q^{81} +(2.39347 - 10.1087i) q^{82} +(-5.77909 - 1.87774i) q^{83} +(-14.0012 - 1.58983i) q^{84} +(2.16900 - 3.14618i) q^{85} +(-4.79645 - 5.58048i) q^{86} +(1.26657 + 3.44924i) q^{87} +(-9.10586 - 0.630726i) q^{88} +(4.38993 - 6.04222i) q^{89} +(4.51557 + 8.34324i) q^{90} +(14.4508 + 19.8899i) q^{91} +(6.57896 + 6.49716i) q^{92} +(0.881994 - 3.10932i) q^{93} +(-4.16006 - 2.53142i) q^{94} +(-4.82401 - 3.32570i) q^{95} +(8.83911 - 4.22732i) q^{96} +(-14.9322 + 4.85176i) q^{97} +(-8.80042 - 10.2389i) q^{98} +(8.23939 + 5.08343i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.921818 1.07250i −0.651823 0.758371i
\(3\) −0.0653839 1.73082i −0.0377494 0.999287i
\(4\) −0.300505 + 1.97730i −0.150252 + 0.988648i
\(5\) 2.14307 + 0.638169i 0.958409 + 0.285398i
\(6\) −1.79603 + 1.66562i −0.733224 + 0.679987i
\(7\) −4.06778 −1.53748 −0.768738 0.639564i \(-0.779115\pi\)
−0.768738 + 0.639564i \(0.779115\pi\)
\(8\) 2.39766 1.50042i 0.847699 0.530477i
\(9\) −2.99145 + 0.226335i −0.997150 + 0.0754451i
\(10\) −1.29108 2.88671i −0.408276 0.912858i
\(11\) −2.61080 1.89685i −0.787185 0.571923i 0.119942 0.992781i \(-0.461729\pi\)
−0.907127 + 0.420858i \(0.861729\pi\)
\(12\) 3.44198 + 0.390835i 0.993615 + 0.112824i
\(13\) −3.55251 4.88961i −0.985289 1.35613i −0.933931 0.357454i \(-0.883645\pi\)
−0.0513583 0.998680i \(-0.516355\pi\)
\(14\) 3.74975 + 4.36268i 1.00216 + 1.16598i
\(15\) 0.964431 3.75098i 0.249015 0.968500i
\(16\) −3.81939 1.18837i −0.954849 0.297093i
\(17\) 0.528103 1.62533i 0.128084 0.394201i −0.866367 0.499409i \(-0.833551\pi\)
0.994450 + 0.105207i \(0.0335507\pi\)
\(18\) 3.00032 + 2.99968i 0.707181 + 0.707032i
\(19\) −2.49211 0.809734i −0.571728 0.185766i 0.00886323 0.999961i \(-0.497179\pi\)
−0.580592 + 0.814195i \(0.697179\pi\)
\(20\) −1.90585 + 4.04571i −0.426161 + 0.904647i
\(21\) 0.265967 + 7.04058i 0.0580388 + 1.53638i
\(22\) 0.372305 + 4.54863i 0.0793757 + 0.969771i
\(23\) 2.71745 3.74024i 0.566627 0.779895i −0.425523 0.904947i \(-0.639910\pi\)
0.992150 + 0.125053i \(0.0399099\pi\)
\(24\) −2.75371 4.05180i −0.562099 0.827070i
\(25\) 4.18548 + 2.73528i 0.837096 + 0.547056i
\(26\) −1.96933 + 8.31739i −0.386218 + 1.63117i
\(27\) 0.587337 + 5.16285i 0.113033 + 0.993591i
\(28\) 1.22239 8.04320i 0.231009 1.52002i
\(29\) −2.01761 + 0.655560i −0.374660 + 0.121734i −0.490293 0.871558i \(-0.663110\pi\)
0.115633 + 0.993292i \(0.463110\pi\)
\(30\) −4.91195 + 2.42337i −0.896796 + 0.442445i
\(31\) 1.77466 + 0.576623i 0.318739 + 0.103565i 0.464017 0.885826i \(-0.346408\pi\)
−0.145278 + 0.989391i \(0.546408\pi\)
\(32\) 2.24626 + 5.19176i 0.397086 + 0.917781i
\(33\) −3.11240 + 4.64283i −0.541800 + 0.808213i
\(34\) −2.22998 + 0.931871i −0.382438 + 0.159815i
\(35\) −8.71752 2.59593i −1.47353 0.438792i
\(36\) 0.451413 5.98299i 0.0752355 0.997166i
\(37\) −1.36655 1.88089i −0.224659 0.309216i 0.681777 0.731560i \(-0.261208\pi\)
−0.906436 + 0.422344i \(0.861208\pi\)
\(38\) 1.42883 + 3.41921i 0.231787 + 0.554669i
\(39\) −8.23074 + 6.46845i −1.31797 + 1.03578i
\(40\) 6.09586 1.68538i 0.963840 0.266482i
\(41\) 4.31762 + 5.94269i 0.674299 + 0.928093i 0.999848 0.0174325i \(-0.00554920\pi\)
−0.325549 + 0.945525i \(0.605549\pi\)
\(42\) 7.30583 6.77538i 1.12731 1.04546i
\(43\) 5.20326 0.793489 0.396745 0.917929i \(-0.370140\pi\)
0.396745 + 0.917929i \(0.370140\pi\)
\(44\) 4.53520 4.59230i 0.683707 0.692315i
\(45\) −6.55532 1.42400i −0.977209 0.212277i
\(46\) −6.51640 + 0.533367i −0.960790 + 0.0786406i
\(47\) 3.27488 1.06407i 0.477690 0.155211i −0.0602685 0.998182i \(-0.519196\pi\)
0.537959 + 0.842971i \(0.319196\pi\)
\(48\) −1.80713 + 6.68837i −0.260836 + 0.965383i
\(49\) 9.54682 1.36383
\(50\) −0.924667 7.01035i −0.130768 0.991413i
\(51\) −2.84768 0.807778i −0.398755 0.113112i
\(52\) 10.7358 5.55501i 1.48878 0.770342i
\(53\) −2.20348 6.78162i −0.302672 0.931528i −0.980536 0.196340i \(-0.937094\pi\)
0.677864 0.735187i \(-0.262906\pi\)
\(54\) 4.99573 5.38913i 0.679833 0.733367i
\(55\) −4.38460 5.73122i −0.591219 0.772797i
\(56\) −9.75313 + 6.10336i −1.30332 + 0.815595i
\(57\) −1.23856 + 4.36632i −0.164051 + 0.578333i
\(58\) 2.56295 + 1.55957i 0.336532 + 0.204782i
\(59\) 9.81893 7.13387i 1.27832 0.928751i 0.278815 0.960345i \(-0.410058\pi\)
0.999501 + 0.0315939i \(0.0100583\pi\)
\(60\) 7.12698 + 3.03415i 0.920090 + 0.391707i
\(61\) −4.99307 3.62768i −0.639297 0.464476i 0.220312 0.975430i \(-0.429293\pi\)
−0.859609 + 0.510953i \(0.829293\pi\)
\(62\) −1.01749 2.43486i −0.129221 0.309228i
\(63\) 12.1686 0.920681i 1.53309 0.115995i
\(64\) 3.49751 7.19496i 0.437189 0.899370i
\(65\) −4.49287 12.7459i −0.557272 1.58093i
\(66\) 7.84850 0.941799i 0.966083 0.115927i
\(67\) −0.983181 + 3.02592i −0.120115 + 0.369675i −0.992979 0.118287i \(-0.962260\pi\)
0.872865 + 0.487962i \(0.162260\pi\)
\(68\) 3.05507 + 1.53263i 0.370481 + 0.185859i
\(69\) −6.65135 4.45885i −0.800729 0.536782i
\(70\) 5.25184 + 11.7425i 0.627715 + 1.40350i
\(71\) 1.67431 + 5.15300i 0.198704 + 0.611548i 0.999913 + 0.0131640i \(0.00419036\pi\)
−0.801209 + 0.598384i \(0.795810\pi\)
\(72\) −6.83287 + 5.03109i −0.805262 + 0.592920i
\(73\) −1.58017 + 2.17491i −0.184944 + 0.254554i −0.891415 0.453189i \(-0.850286\pi\)
0.706470 + 0.707743i \(0.250286\pi\)
\(74\) −0.757544 + 3.19946i −0.0880627 + 0.371929i
\(75\) 4.46060 7.42314i 0.515066 0.857150i
\(76\) 2.34997 4.68430i 0.269560 0.537326i
\(77\) 10.6201 + 7.71598i 1.21028 + 0.879318i
\(78\) 14.5246 + 2.86473i 1.64459 + 0.324367i
\(79\) −2.42335 + 0.787395i −0.272648 + 0.0885888i −0.442150 0.896941i \(-0.645784\pi\)
0.169502 + 0.985530i \(0.445784\pi\)
\(80\) −7.42684 4.98418i −0.830346 0.557249i
\(81\) 8.89754 1.35414i 0.988616 0.150460i
\(82\) 2.39347 10.1087i 0.264314 1.11632i
\(83\) −5.77909 1.87774i −0.634337 0.206109i −0.0258418 0.999666i \(-0.508227\pi\)
−0.608495 + 0.793557i \(0.708227\pi\)
\(84\) −14.0012 1.58983i −1.52766 0.173465i
\(85\) 2.16900 3.14618i 0.235261 0.341251i
\(86\) −4.79645 5.58048i −0.517215 0.601759i
\(87\) 1.26657 + 3.44924i 0.135791 + 0.369798i
\(88\) −9.10586 0.630726i −0.970688 0.0672356i
\(89\) 4.38993 6.04222i 0.465331 0.640474i −0.510272 0.860013i \(-0.670455\pi\)
0.975604 + 0.219539i \(0.0704554\pi\)
\(90\) 4.51557 + 8.34324i 0.475983 + 0.879454i
\(91\) 14.4508 + 19.8899i 1.51486 + 2.08502i
\(92\) 6.57896 + 6.49716i 0.685904 + 0.677375i
\(93\) 0.881994 3.10932i 0.0914585 0.322421i
\(94\) −4.16006 2.53142i −0.429077 0.261096i
\(95\) −4.82401 3.32570i −0.494933 0.341210i
\(96\) 8.83911 4.22732i 0.902137 0.431449i
\(97\) −14.9322 + 4.85176i −1.51613 + 0.492622i −0.944675 0.328008i \(-0.893623\pi\)
−0.571460 + 0.820630i \(0.693623\pi\)
\(98\) −8.80042 10.2389i −0.888977 1.03429i
\(99\) 8.23939 + 5.08343i 0.828090 + 0.510904i
\(100\) −6.66621 + 7.45397i −0.666621 + 0.745397i
\(101\) 15.8548i 1.57762i −0.614640 0.788808i \(-0.710699\pi\)
0.614640 0.788808i \(-0.289301\pi\)
\(102\) 1.75870 + 3.79876i 0.174138 + 0.376133i
\(103\) −1.20914 3.72134i −0.119140 0.366674i 0.873648 0.486558i \(-0.161748\pi\)
−0.992788 + 0.119884i \(0.961748\pi\)
\(104\) −15.8541 6.39337i −1.55463 0.626921i
\(105\) −3.92309 + 15.2582i −0.382855 + 1.48904i
\(106\) −5.24207 + 8.61465i −0.509155 + 0.836729i
\(107\) 20.0414i 1.93748i 0.248083 + 0.968739i \(0.420199\pi\)
−0.248083 + 0.968739i \(0.579801\pi\)
\(108\) −10.3850 0.390121i −0.999295 0.0375394i
\(109\) 3.65735 2.65722i 0.350311 0.254516i −0.398688 0.917086i \(-0.630535\pi\)
0.749000 + 0.662571i \(0.230535\pi\)
\(110\) −2.10492 + 9.98561i −0.200696 + 0.952091i
\(111\) −3.16613 + 2.48822i −0.300515 + 0.236172i
\(112\) 15.5364 + 4.83404i 1.46806 + 0.456773i
\(113\) 5.67028 4.11970i 0.533415 0.387549i −0.288218 0.957565i \(-0.593063\pi\)
0.821634 + 0.570016i \(0.193063\pi\)
\(114\) 5.82460 2.69660i 0.545523 0.252560i
\(115\) 8.21058 6.28141i 0.765641 0.585744i
\(116\) −0.689936 4.18640i −0.0640589 0.388698i
\(117\) 11.7338 + 13.8230i 1.08479 + 1.27793i
\(118\) −16.7023 3.95466i −1.53757 0.364056i
\(119\) −2.14820 + 6.61149i −0.196926 + 0.606074i
\(120\) −3.31566 10.4406i −0.302677 0.953093i
\(121\) −0.180988 0.557023i −0.0164534 0.0506385i
\(122\) 0.712022 + 8.69911i 0.0644634 + 0.787581i
\(123\) 10.0034 7.86156i 0.901977 0.708853i
\(124\) −1.67345 + 3.33575i −0.150280 + 0.299560i
\(125\) 7.22420 + 8.53294i 0.646152 + 0.763209i
\(126\) −12.2046 12.2021i −1.08727 1.08705i
\(127\) −17.1586 12.4665i −1.52258 1.10622i −0.960189 0.279350i \(-0.909881\pi\)
−0.562393 0.826870i \(-0.690119\pi\)
\(128\) −10.9406 + 2.88137i −0.967026 + 0.254679i
\(129\) −0.340209 9.00588i −0.0299538 0.792923i
\(130\) −9.52832 + 16.5680i −0.835689 + 1.45311i
\(131\) −0.0295118 + 0.0908279i −0.00257845 + 0.00793567i −0.952337 0.305046i \(-0.901328\pi\)
0.949759 + 0.312982i \(0.101328\pi\)
\(132\) −8.24496 7.54933i −0.717632 0.657085i
\(133\) 10.1373 + 3.29382i 0.879018 + 0.285610i
\(134\) 4.15161 1.73489i 0.358644 0.149871i
\(135\) −2.03607 + 11.4392i −0.175237 + 0.984526i
\(136\) −1.17247 4.68936i −0.100538 0.402109i
\(137\) 11.7801 8.55876i 1.00644 0.731224i 0.0429837 0.999076i \(-0.486314\pi\)
0.963460 + 0.267851i \(0.0863137\pi\)
\(138\) 1.34923 + 11.2438i 0.114854 + 0.957137i
\(139\) 0.880689 1.21216i 0.0746991 0.102814i −0.770033 0.638005i \(-0.779760\pi\)
0.844732 + 0.535190i \(0.179760\pi\)
\(140\) 7.75258 16.4570i 0.655212 1.39087i
\(141\) −2.05584 5.59864i −0.173133 0.471490i
\(142\) 3.98317 6.54582i 0.334260 0.549313i
\(143\) 19.5044i 1.63104i
\(144\) 11.6945 + 2.69049i 0.974541 + 0.224208i
\(145\) −4.74223 + 0.117335i −0.393820 + 0.00974418i
\(146\) 3.78921 0.310147i 0.313598 0.0256680i
\(147\) −0.624209 16.5238i −0.0514839 1.36286i
\(148\) 4.12973 2.13685i 0.339462 0.175648i
\(149\) 13.1430i 1.07672i 0.842715 + 0.538359i \(0.180956\pi\)
−0.842715 + 0.538359i \(0.819044\pi\)
\(150\) −12.0732 + 2.05879i −0.985770 + 0.168100i
\(151\) 5.69211i 0.463218i 0.972809 + 0.231609i \(0.0743989\pi\)
−0.972809 + 0.231609i \(0.925601\pi\)
\(152\) −7.19015 + 1.79773i −0.583198 + 0.145815i
\(153\) −1.21192 + 4.98163i −0.0979781 + 0.402741i
\(154\) −1.51445 18.5028i −0.122038 1.49100i
\(155\) 3.43524 + 2.36828i 0.275925 + 0.190225i
\(156\) −10.3167 18.2184i −0.825993 1.45864i
\(157\) 6.78163i 0.541233i −0.962687 0.270617i \(-0.912772\pi\)
0.962687 0.270617i \(-0.0872276\pi\)
\(158\) 3.07837 + 1.87321i 0.244902 + 0.149024i
\(159\) −11.5937 + 4.25723i −0.919438 + 0.337621i
\(160\) 1.50066 + 12.5598i 0.118638 + 0.992938i
\(161\) −11.0540 + 15.2145i −0.871175 + 1.19907i
\(162\) −9.65423 8.29433i −0.758508 0.651664i
\(163\) 12.0385 8.74651i 0.942931 0.685079i −0.00619340 0.999981i \(-0.501971\pi\)
0.949124 + 0.314901i \(0.101971\pi\)
\(164\) −13.0479 + 6.75140i −1.01887 + 0.527196i
\(165\) −9.63300 + 7.96366i −0.749928 + 0.619970i
\(166\) 3.31339 + 7.92899i 0.257169 + 0.615409i
\(167\) −13.2184 4.29493i −1.02287 0.332352i −0.250904 0.968012i \(-0.580728\pi\)
−0.771969 + 0.635660i \(0.780728\pi\)
\(168\) 11.2015 + 16.4818i 0.864213 + 1.27160i
\(169\) −7.27075 + 22.3771i −0.559288 + 1.72131i
\(170\) −5.37369 + 0.573958i −0.412143 + 0.0440206i
\(171\) 7.63828 + 1.85823i 0.584114 + 0.142102i
\(172\) −1.56360 + 10.2884i −0.119224 + 0.784481i
\(173\) −10.6950 7.77036i −0.813125 0.590770i 0.101610 0.994824i \(-0.467601\pi\)
−0.914735 + 0.404055i \(0.867601\pi\)
\(174\) 2.53176 4.53797i 0.191932 0.344023i
\(175\) −17.0256 11.1265i −1.28701 0.841085i
\(176\) 7.71749 + 10.3474i 0.581728 + 0.779967i
\(177\) −12.9894 16.5283i −0.976345 1.24234i
\(178\) −10.5270 + 0.861633i −0.789030 + 0.0645821i
\(179\) −2.57158 7.91451i −0.192209 0.591559i −0.999998 0.00208652i \(-0.999336\pi\)
0.807789 0.589472i \(-0.200664\pi\)
\(180\) 4.78557 12.5339i 0.356695 0.934221i
\(181\) 2.91403 8.96846i 0.216598 0.666621i −0.782438 0.622728i \(-0.786024\pi\)
0.999036 0.0438922i \(-0.0139758\pi\)
\(182\) 8.01081 33.8333i 0.593800 2.50789i
\(183\) −5.95238 + 8.87928i −0.440012 + 0.656375i
\(184\) 0.903583 13.0451i 0.0666130 0.961699i
\(185\) −1.72828 4.90296i −0.127065 0.360473i
\(186\) −4.14777 + 1.92029i −0.304130 + 0.140802i
\(187\) −4.46179 + 3.24168i −0.326278 + 0.237055i
\(188\) 1.11987 + 6.79516i 0.0816749 + 0.495588i
\(189\) −2.38916 21.0013i −0.173786 1.52762i
\(190\) 0.880045 + 8.23943i 0.0638452 + 0.597751i
\(191\) 2.50622 1.82087i 0.181343 0.131754i −0.493410 0.869797i \(-0.664250\pi\)
0.674754 + 0.738043i \(0.264250\pi\)
\(192\) −12.6818 5.58311i −0.915232 0.402926i
\(193\) 8.14234i 0.586099i 0.956097 + 0.293049i \(0.0946700\pi\)
−0.956097 + 0.293049i \(0.905330\pi\)
\(194\) 18.9683 + 11.5423i 1.36184 + 0.828690i
\(195\) −21.7670 + 8.60971i −1.55877 + 0.616554i
\(196\) −2.86886 + 18.8769i −0.204919 + 1.34835i
\(197\) −1.43924 4.42952i −0.102541 0.315590i 0.886604 0.462529i \(-0.153058\pi\)
−0.989146 + 0.146939i \(0.953058\pi\)
\(198\) −2.14325 13.5227i −0.152314 0.961018i
\(199\) 14.7455i 1.04528i 0.852553 + 0.522641i \(0.175053\pi\)
−0.852553 + 0.522641i \(0.824947\pi\)
\(200\) 14.1394 + 0.278302i 0.999806 + 0.0196790i
\(201\) 5.30160 + 1.50386i 0.373946 + 0.106074i
\(202\) −17.0043 + 14.6153i −1.19642 + 1.02833i
\(203\) 8.20717 2.66667i 0.576031 0.187164i
\(204\) 2.45296 5.38797i 0.171741 0.377233i
\(205\) 5.46051 + 15.4910i 0.381378 + 1.08194i
\(206\) −2.87653 + 4.72719i −0.200417 + 0.329359i
\(207\) −7.28256 + 11.8038i −0.506173 + 0.820421i
\(208\) 7.75776 + 22.8971i 0.537904 + 1.58763i
\(209\) 4.97043 + 6.84121i 0.343812 + 0.473217i
\(210\) 19.9807 9.85774i 1.37880 0.680248i
\(211\) 11.4404 15.7463i 0.787587 1.08402i −0.206817 0.978380i \(-0.566310\pi\)
0.994404 0.105641i \(-0.0336896\pi\)
\(212\) 14.0714 2.31903i 0.966430 0.159271i
\(213\) 8.80942 3.23485i 0.603611 0.221648i
\(214\) 21.4944 18.4745i 1.46933 1.26289i
\(215\) 11.1509 + 3.32056i 0.760487 + 0.226460i
\(216\) 9.15465 + 11.4975i 0.622895 + 0.782305i
\(217\) −7.21893 2.34557i −0.490053 0.159228i
\(218\) −6.22128 1.47303i −0.421358 0.0997662i
\(219\) 3.86769 + 2.59277i 0.261354 + 0.175203i
\(220\) 12.6499 6.94739i 0.852856 0.468393i
\(221\) −9.82333 + 3.19179i −0.660789 + 0.214703i
\(222\) 5.58720 + 1.10198i 0.374988 + 0.0739599i
\(223\) 10.2193 + 7.42479i 0.684338 + 0.497200i 0.874794 0.484495i \(-0.160997\pi\)
−0.190456 + 0.981696i \(0.560997\pi\)
\(224\) −9.13728 21.1189i −0.610510 1.41107i
\(225\) −13.1397 7.23513i −0.875983 0.482342i
\(226\) −9.64534 2.28375i −0.641598 0.151913i
\(227\) 13.7837 18.9716i 0.914856 1.25919i −0.0506254 0.998718i \(-0.516121\pi\)
0.965481 0.260473i \(-0.0838785\pi\)
\(228\) −8.26132 3.76109i −0.547119 0.249085i
\(229\) 2.96567 + 9.12739i 0.195977 + 0.603155i 0.999964 + 0.00850807i \(0.00270824\pi\)
−0.803987 + 0.594647i \(0.797292\pi\)
\(230\) −14.3055 3.01552i −0.943274 0.198838i
\(231\) 12.6606 18.8860i 0.833004 1.24261i
\(232\) −3.85391 + 4.59905i −0.253022 + 0.301943i
\(233\) −3.17857 + 9.78263i −0.208235 + 0.640881i 0.791330 + 0.611389i \(0.209389\pi\)
−0.999565 + 0.0294921i \(0.990611\pi\)
\(234\) 4.00864 25.3268i 0.262053 1.65566i
\(235\) 7.69734 0.190453i 0.502119 0.0124238i
\(236\) 11.1551 + 21.5587i 0.726138 + 1.40335i
\(237\) 1.52128 + 4.14289i 0.0988180 + 0.269110i
\(238\) 9.07107 3.79065i 0.587990 0.245711i
\(239\) 23.5392 + 17.1022i 1.52262 + 1.10625i 0.960169 + 0.279421i \(0.0901425\pi\)
0.562453 + 0.826829i \(0.309858\pi\)
\(240\) −8.14111 + 13.1804i −0.525506 + 0.850790i
\(241\) 19.3133 14.0319i 1.24408 0.903876i 0.246216 0.969215i \(-0.420813\pi\)
0.997863 + 0.0653387i \(0.0208128\pi\)
\(242\) −0.430569 + 0.707583i −0.0276780 + 0.0454852i
\(243\) −2.92553 15.3115i −0.187673 0.982232i
\(244\) 8.67343 8.78264i 0.555259 0.562251i
\(245\) 20.4595 + 6.09249i 1.30711 + 0.389235i
\(246\) −17.6528 3.48171i −1.12550 0.221986i
\(247\) 4.89395 + 15.0620i 0.311394 + 0.958374i
\(248\) 5.12020 1.28019i 0.325133 0.0812920i
\(249\) −2.87216 + 10.1253i −0.182016 + 0.641666i
\(250\) 2.49217 15.6137i 0.157618 0.987500i
\(251\) 15.2271 0.961129 0.480564 0.876959i \(-0.340432\pi\)
0.480564 + 0.876959i \(0.340432\pi\)
\(252\) −1.83625 + 24.3375i −0.115673 + 1.53312i
\(253\) −14.1894 + 4.61042i −0.892080 + 0.289854i
\(254\) 2.44686 + 29.8944i 0.153529 + 1.87574i
\(255\) −5.58728 3.54843i −0.349889 0.222211i
\(256\) 13.1755 + 9.07773i 0.823471 + 0.567358i
\(257\) −14.0885 −0.878814 −0.439407 0.898288i \(-0.644811\pi\)
−0.439407 + 0.898288i \(0.644811\pi\)
\(258\) −9.34518 + 8.66665i −0.581805 + 0.539562i
\(259\) 5.55881 + 7.65104i 0.345408 + 0.475413i
\(260\) 26.5525 5.05354i 1.64672 0.313407i
\(261\) 5.88719 2.41773i 0.364408 0.149654i
\(262\) 0.124617 0.0520754i 0.00769887 0.00321723i
\(263\) −15.1053 20.7907i −0.931436 1.28201i −0.959297 0.282399i \(-0.908870\pi\)
0.0278614 0.999612i \(-0.491130\pi\)
\(264\) −0.496294 + 15.8018i −0.0305448 + 0.972534i
\(265\) −0.394390 15.9397i −0.0242272 0.979166i
\(266\) −5.81216 13.9086i −0.356366 0.852789i
\(267\) −10.7450 7.20309i −0.657583 0.440822i
\(268\) −5.68769 2.85334i −0.347431 0.174296i
\(269\) 4.54996 + 1.47837i 0.277416 + 0.0901379i 0.444421 0.895818i \(-0.353410\pi\)
−0.167005 + 0.985956i \(0.553410\pi\)
\(270\) 14.1454 8.36114i 0.860859 0.508843i
\(271\) −28.4163 + 9.23302i −1.72617 + 0.560866i −0.992887 0.119059i \(-0.962012\pi\)
−0.733281 + 0.679925i \(0.762012\pi\)
\(272\) −3.94853 + 5.58020i −0.239415 + 0.338350i
\(273\) 33.4808 26.3122i 2.02635 1.59249i
\(274\) −20.0384 4.74454i −1.21056 0.286628i
\(275\) −5.73901 15.0805i −0.346075 0.909389i
\(276\) 10.8152 11.8118i 0.651000 0.710986i
\(277\) 3.46129 4.76406i 0.207969 0.286245i −0.692272 0.721637i \(-0.743390\pi\)
0.900241 + 0.435392i \(0.143390\pi\)
\(278\) −2.11188 + 0.172857i −0.126662 + 0.0103673i
\(279\) −5.43932 1.32327i −0.325644 0.0792221i
\(280\) −24.7966 + 6.85576i −1.48188 + 0.409710i
\(281\) −16.7821 5.45282i −1.00113 0.325288i −0.237815 0.971310i \(-0.576431\pi\)
−0.763319 + 0.646022i \(0.776431\pi\)
\(282\) −4.10942 + 7.36581i −0.244713 + 0.438627i
\(283\) 1.15511 3.55506i 0.0686641 0.211326i −0.910837 0.412767i \(-0.864562\pi\)
0.979501 + 0.201441i \(0.0645623\pi\)
\(284\) −10.6921 + 1.76211i −0.634462 + 0.104562i
\(285\) −5.44077 + 8.56692i −0.322283 + 0.507460i
\(286\) 20.9184 17.9795i 1.23693 1.06315i
\(287\) −17.5631 24.1736i −1.03672 1.42692i
\(288\) −7.89464 15.0225i −0.465196 0.885208i
\(289\) 11.3905 + 8.27566i 0.670028 + 0.486804i
\(290\) 4.49731 + 4.97787i 0.264091 + 0.292310i
\(291\) 9.37384 + 25.5277i 0.549504 + 1.49646i
\(292\) −3.82560 3.77803i −0.223876 0.221092i
\(293\) 9.16625 0.535498 0.267749 0.963489i \(-0.413720\pi\)
0.267749 + 0.963489i \(0.413720\pi\)
\(294\) −17.1463 + 15.9014i −0.999994 + 0.927387i
\(295\) 25.5953 9.02223i 1.49021 0.525295i
\(296\) −6.09863 2.45934i −0.354475 0.142946i
\(297\) 8.25976 14.5932i 0.479280 0.846786i
\(298\) 14.0959 12.1155i 0.816552 0.701831i
\(299\) −27.9421 −1.61593
\(300\) 13.3373 + 11.0506i 0.770030 + 0.638008i
\(301\) −21.1657 −1.21997
\(302\) 6.10478 5.24709i 0.351291 0.301936i
\(303\) −27.4418 + 1.03665i −1.57649 + 0.0595541i
\(304\) 8.55607 + 6.05425i 0.490724 + 0.347235i
\(305\) −8.38541 10.9608i −0.480147 0.627612i
\(306\) 6.45996 3.29237i 0.369291 0.188212i
\(307\) 7.15824 0.408542 0.204271 0.978914i \(-0.434518\pi\)
0.204271 + 0.978914i \(0.434518\pi\)
\(308\) −18.4482 + 18.6805i −1.05118 + 1.06442i
\(309\) −6.36189 + 2.33611i −0.361916 + 0.132897i
\(310\) −0.626692 5.86741i −0.0355937 0.333246i
\(311\) −9.07531 6.59360i −0.514614 0.373889i 0.299957 0.953953i \(-0.403028\pi\)
−0.814571 + 0.580064i \(0.803028\pi\)
\(312\) −10.0291 + 27.8586i −0.567788 + 1.57718i
\(313\) 1.45676 + 2.00506i 0.0823408 + 0.113332i 0.848200 0.529675i \(-0.177686\pi\)
−0.765860 + 0.643008i \(0.777686\pi\)
\(314\) −7.27329 + 6.25143i −0.410455 + 0.352788i
\(315\) 26.6656 + 5.79251i 1.50244 + 0.326371i
\(316\) −0.828684 5.02830i −0.0466171 0.282864i
\(317\) −4.13848 + 12.7369i −0.232440 + 0.715377i 0.765011 + 0.644018i \(0.222734\pi\)
−0.997451 + 0.0713591i \(0.977266\pi\)
\(318\) 15.2531 + 8.50980i 0.855353 + 0.477206i
\(319\) 6.51106 + 2.11557i 0.364549 + 0.118449i
\(320\) 12.0870 13.1873i 0.675684 0.737192i
\(321\) 34.6880 1.31039i 1.93610 0.0731387i
\(322\) 26.5073 2.16962i 1.47719 0.120908i
\(323\) −2.63218 + 3.62288i −0.146458 + 0.201582i
\(324\) 0.00378353 + 18.0000i 0.000210196 + 1.00000i
\(325\) −1.49451 30.1825i −0.0829003 1.67422i
\(326\) −20.4780 4.84862i −1.13417 0.268540i
\(327\) −4.83830 6.15647i −0.267559 0.340454i
\(328\) 19.2687 + 7.77031i 1.06393 + 0.429044i
\(329\) −13.3215 + 4.32841i −0.734437 + 0.238633i
\(330\) 17.4209 + 2.99033i 0.958988 + 0.164612i
\(331\) −23.4234 7.61073i −1.28747 0.418324i −0.416264 0.909244i \(-0.636661\pi\)
−0.871205 + 0.490920i \(0.836661\pi\)
\(332\) 5.44949 10.8627i 0.299079 0.596168i
\(333\) 4.51367 + 5.31729i 0.247347 + 0.291386i
\(334\) 7.57868 + 18.1359i 0.414687 + 0.992352i
\(335\) −4.03807 + 5.85732i −0.220623 + 0.320019i
\(336\) 7.35099 27.2068i 0.401030 1.48425i
\(337\) 6.30910 + 8.68373i 0.343678 + 0.473033i 0.945511 0.325589i \(-0.105563\pi\)
−0.601833 + 0.798622i \(0.705563\pi\)
\(338\) 30.7017 12.8297i 1.66995 0.697844i
\(339\) −7.50119 9.54486i −0.407409 0.518405i
\(340\) 5.56913 + 5.23419i 0.302029 + 0.283864i
\(341\) −3.53951 4.87172i −0.191675 0.263818i
\(342\) −5.04816 9.90499i −0.272973 0.535601i
\(343\) −10.3599 −0.559381
\(344\) 12.4756 7.80704i 0.672640 0.420928i
\(345\) −11.4088 13.8003i −0.614229 0.742984i
\(346\) 1.52513 + 18.6332i 0.0819914 + 1.00173i
\(347\) 14.7741 4.80040i 0.793116 0.257699i 0.115685 0.993286i \(-0.463094\pi\)
0.677430 + 0.735587i \(0.263094\pi\)
\(348\) −7.20078 + 1.46788i −0.386002 + 0.0786864i
\(349\) 2.25215 0.120555 0.0602774 0.998182i \(-0.480801\pi\)
0.0602774 + 0.998182i \(0.480801\pi\)
\(350\) 3.76134 + 28.5165i 0.201052 + 1.52427i
\(351\) 23.1578 21.2129i 1.23607 1.13226i
\(352\) 3.98348 17.8154i 0.212320 0.949566i
\(353\) 1.24018 + 3.81687i 0.0660079 + 0.203151i 0.978621 0.205674i \(-0.0659386\pi\)
−0.912613 + 0.408825i \(0.865939\pi\)
\(354\) −5.75272 + 29.1672i −0.305754 + 1.55022i
\(355\) 0.299677 + 12.1117i 0.0159052 + 0.642823i
\(356\) 10.6281 + 10.4959i 0.563286 + 0.556281i
\(357\) 11.5837 + 3.28586i 0.613076 + 0.173906i
\(358\) −6.11777 + 10.0538i −0.323334 + 0.531357i
\(359\) −1.12195 + 0.815144i −0.0592142 + 0.0430216i −0.616999 0.786964i \(-0.711652\pi\)
0.557784 + 0.829986i \(0.311652\pi\)
\(360\) −17.8540 + 6.42144i −0.940988 + 0.338440i
\(361\) −9.81640 7.13203i −0.516653 0.375370i
\(362\) −12.3049 + 5.14199i −0.646729 + 0.270257i
\(363\) −0.952271 + 0.349677i −0.0499813 + 0.0183533i
\(364\) −43.6707 + 22.5966i −2.28896 + 1.18438i
\(365\) −4.77437 + 3.65257i −0.249902 + 0.191184i
\(366\) 15.0100 1.80116i 0.784586 0.0941482i
\(367\) −2.19066 + 6.74216i −0.114352 + 0.351938i −0.991811 0.127712i \(-0.959237\pi\)
0.877460 + 0.479650i \(0.159237\pi\)
\(368\) −14.8238 + 11.0561i −0.772744 + 0.576341i
\(369\) −14.2610 16.8000i −0.742397 0.874575i
\(370\) −3.66526 + 6.37321i −0.190548 + 0.331327i
\(371\) 8.96328 + 27.5861i 0.465350 + 1.43220i
\(372\) 5.88299 + 2.67833i 0.305019 + 0.138865i
\(373\) −22.1263 + 30.4542i −1.14566 + 1.57686i −0.391479 + 0.920187i \(0.628037\pi\)
−0.754176 + 0.656672i \(0.771963\pi\)
\(374\) 7.58965 + 1.79702i 0.392451 + 0.0929218i
\(375\) 14.2966 13.0617i 0.738273 0.674502i
\(376\) 6.25548 7.46496i 0.322602 0.384976i
\(377\) 10.3730 + 7.53643i 0.534237 + 0.388146i
\(378\) −20.3215 + 21.9218i −1.04523 + 1.12753i
\(379\) −20.7567 + 6.74427i −1.06620 + 0.346430i −0.789007 0.614384i \(-0.789405\pi\)
−0.277194 + 0.960814i \(0.589405\pi\)
\(380\) 8.02553 8.53910i 0.411701 0.438046i
\(381\) −20.4553 + 30.5135i −1.04796 + 1.56326i
\(382\) −4.26316 1.00940i −0.218122 0.0516454i
\(383\) −17.3235 5.62875i −0.885190 0.287616i −0.169080 0.985602i \(-0.554079\pi\)
−0.716111 + 0.697987i \(0.754079\pi\)
\(384\) 5.70246 + 18.7479i 0.291003 + 0.956722i
\(385\) 17.8356 + 23.3133i 0.908985 + 1.18816i
\(386\) 8.73265 7.50576i 0.444480 0.382033i
\(387\) −15.5653 + 1.17768i −0.791228 + 0.0598648i
\(388\) −5.10618 30.9833i −0.259227 1.57294i
\(389\) 2.05265 2.82523i 0.104074 0.143245i −0.753804 0.657100i \(-0.771783\pi\)
0.857877 + 0.513855i \(0.171783\pi\)
\(390\) 29.2991 + 15.4085i 1.48362 + 0.780239i
\(391\) −4.64405 6.39199i −0.234860 0.323257i
\(392\) 22.8900 14.3242i 1.15612 0.723481i
\(393\) 0.159136 + 0.0451408i 0.00802735 + 0.00227705i
\(394\) −3.42393 + 5.62679i −0.172495 + 0.283473i
\(395\) −5.69590 + 0.140932i −0.286592 + 0.00709105i
\(396\) −12.5274 + 14.7641i −0.629526 + 0.741925i
\(397\) −9.49933 + 3.08652i −0.476758 + 0.154908i −0.537532 0.843244i \(-0.680643\pi\)
0.0607739 + 0.998152i \(0.480643\pi\)
\(398\) 15.8145 13.5927i 0.792711 0.681339i
\(399\) 5.03818 17.7612i 0.252224 0.889174i
\(400\) −12.7355 15.4210i −0.636773 0.771051i
\(401\) 23.7168i 1.18436i 0.805806 + 0.592180i \(0.201732\pi\)
−0.805806 + 0.592180i \(0.798268\pi\)
\(402\) −3.27422 7.07223i −0.163303 0.352731i
\(403\) −3.48505 10.7259i −0.173603 0.534294i
\(404\) 31.3497 + 4.76445i 1.55971 + 0.237040i
\(405\) 19.9322 + 2.77612i 0.990440 + 0.137947i
\(406\) −10.4255 6.34399i −0.517410 0.314847i
\(407\) 7.50276i 0.371898i
\(408\) −8.03976 + 2.33593i −0.398028 + 0.115646i
\(409\) 18.7930 13.6539i 0.929255 0.675143i −0.0165551 0.999863i \(-0.505270\pi\)
0.945810 + 0.324719i \(0.105270\pi\)
\(410\) 11.5804 20.1362i 0.571917 0.994457i
\(411\) −15.5839 19.8296i −0.768696 0.978123i
\(412\) 7.72154 1.27254i 0.380413 0.0626935i
\(413\) −39.9412 + 29.0190i −1.96538 + 1.42793i
\(414\) 19.3728 3.07043i 0.952119 0.150903i
\(415\) −11.1867 7.71216i −0.549132 0.378575i
\(416\) 17.4058 29.4271i 0.853390 1.44278i
\(417\) −2.15562 1.44506i −0.105561 0.0707647i
\(418\) 2.75536 11.6371i 0.134769 0.569191i
\(419\) −0.428622 + 1.31916i −0.0209395 + 0.0644453i −0.960980 0.276617i \(-0.910787\pi\)
0.940041 + 0.341062i \(0.110787\pi\)
\(420\) −28.9910 12.3423i −1.41462 0.602241i
\(421\) −5.56178 17.1174i −0.271065 0.834251i −0.990234 0.139416i \(-0.955477\pi\)
0.719169 0.694835i \(-0.244523\pi\)
\(422\) −27.4338 + 2.24546i −1.33546 + 0.109307i
\(423\) −9.55580 + 3.92434i −0.464619 + 0.190808i
\(424\) −15.4584 12.9539i −0.750728 0.629095i
\(425\) 6.65610 5.35829i 0.322868 0.259915i
\(426\) −11.5900 6.46615i −0.561539 0.313286i
\(427\) 20.3107 + 14.7566i 0.982903 + 0.714121i
\(428\) −39.6278 6.02254i −1.91548 0.291110i
\(429\) 33.7585 1.27527i 1.62987 0.0615707i
\(430\) −6.71783 15.0203i −0.323963 0.724343i
\(431\) 8.05614 24.7943i 0.388051 1.19430i −0.546192 0.837660i \(-0.683923\pi\)
0.934243 0.356637i \(-0.116077\pi\)
\(432\) 3.89212 20.4169i 0.187260 0.982310i
\(433\) −7.91328 2.57118i −0.380288 0.123563i 0.112634 0.993637i \(-0.464071\pi\)
−0.492922 + 0.870073i \(0.664071\pi\)
\(434\) 4.13892 + 9.90448i 0.198674 + 0.475430i
\(435\) 0.513151 + 8.20025i 0.0246037 + 0.393172i
\(436\) 4.15506 + 8.03018i 0.198991 + 0.384576i
\(437\) −9.80077 + 7.12068i −0.468835 + 0.340628i
\(438\) −0.784561 6.53815i −0.0374878 0.312405i
\(439\) 5.42747 7.47027i 0.259039 0.356537i −0.659612 0.751606i \(-0.729279\pi\)
0.918651 + 0.395069i \(0.129279\pi\)
\(440\) −19.1120 7.16277i −0.911127 0.341472i
\(441\) −28.5588 + 2.16078i −1.35994 + 0.102894i
\(442\) 12.4785 + 7.59326i 0.593543 + 0.361174i
\(443\) 9.13686i 0.434105i 0.976160 + 0.217053i \(0.0696444\pi\)
−0.976160 + 0.217053i \(0.930356\pi\)
\(444\) −3.96851 7.00809i −0.188337 0.332589i
\(445\) 13.2639 10.1474i 0.628768 0.481031i
\(446\) −1.45730 17.8045i −0.0690051 0.843069i
\(447\) 22.7482 0.859343i 1.07595 0.0406455i
\(448\) −14.2271 + 29.2675i −0.672167 + 1.38276i
\(449\) 4.35202i 0.205384i 0.994713 + 0.102692i \(0.0327457\pi\)
−0.994713 + 0.102692i \(0.967254\pi\)
\(450\) 4.35278 + 20.7618i 0.205192 + 0.978722i
\(451\) 23.7050i 1.11623i
\(452\) 6.44192 + 12.4498i 0.303003 + 0.585590i
\(453\) 9.85200 0.372173i 0.462888 0.0174862i
\(454\) −33.0531 + 2.70539i −1.55126 + 0.126970i
\(455\) 18.2760 + 51.8474i 0.856792 + 2.43064i
\(456\) 3.58166 + 12.3273i 0.167727 + 0.577278i
\(457\) 8.13030i 0.380319i 0.981753 + 0.190160i \(0.0609006\pi\)
−0.981753 + 0.190160i \(0.939099\pi\)
\(458\) 7.05531 11.5945i 0.329673 0.541774i
\(459\) 8.70153 + 1.77190i 0.406152 + 0.0827050i
\(460\) 9.95288 + 18.1223i 0.464055 + 0.844958i
\(461\) 15.7995 21.7462i 0.735857 1.01282i −0.262989 0.964799i \(-0.584708\pi\)
0.998846 0.0480215i \(-0.0152916\pi\)
\(462\) −31.9259 + 3.83103i −1.48533 + 0.178236i
\(463\) −16.2070 + 11.7751i −0.753205 + 0.547235i −0.896819 0.442399i \(-0.854128\pi\)
0.143614 + 0.989634i \(0.454128\pi\)
\(464\) 8.48508 0.106174i 0.393910 0.00492901i
\(465\) 3.87444 6.10062i 0.179673 0.282909i
\(466\) 13.4219 5.60879i 0.621758 0.259822i
\(467\) −2.65359 0.862205i −0.122794 0.0398981i 0.246976 0.969022i \(-0.420563\pi\)
−0.369769 + 0.929124i \(0.620563\pi\)
\(468\) −30.8582 + 19.0474i −1.42642 + 0.880467i
\(469\) 3.99936 12.3088i 0.184673 0.568366i
\(470\) −7.29981 8.07982i −0.336715 0.372694i
\(471\) −11.7378 + 0.443410i −0.540847 + 0.0204312i
\(472\) 12.8387 31.8370i 0.590947 1.46542i
\(473\) −13.5846 9.86982i −0.624622 0.453815i
\(474\) 3.04090 5.45057i 0.139673 0.250353i
\(475\) −8.21581 10.2057i −0.376967 0.468271i
\(476\) −12.4273 6.23442i −0.569606 0.285754i
\(477\) 8.12653 + 19.7882i 0.372088 + 0.906038i
\(478\) −3.35673 41.0108i −0.153533 1.87579i
\(479\) 6.48938 + 19.9722i 0.296507 + 0.912555i 0.982711 + 0.185146i \(0.0592758\pi\)
−0.686204 + 0.727409i \(0.740724\pi\)
\(480\) 21.6405 3.41858i 0.987751 0.156036i
\(481\) −4.34215 + 13.3638i −0.197985 + 0.609335i
\(482\) −32.8526 7.77859i −1.49639 0.354305i
\(483\) 27.0562 + 18.1376i 1.23110 + 0.825290i
\(484\) 1.15579 0.190478i 0.0525358 0.00865811i
\(485\) −35.0970 + 0.868393i −1.59367 + 0.0394317i
\(486\) −13.7247 + 17.2520i −0.622566 + 0.782567i
\(487\) 3.99489 2.90246i 0.181026 0.131523i −0.493582 0.869699i \(-0.664313\pi\)
0.674608 + 0.738176i \(0.264313\pi\)
\(488\) −17.4147 1.20625i −0.788326 0.0546041i
\(489\) −15.9257 20.2646i −0.720186 0.916398i
\(490\) −12.3257 27.5589i −0.556820 1.24498i
\(491\) −13.3366 + 9.68959i −0.601871 + 0.437285i −0.846543 0.532321i \(-0.821320\pi\)
0.244671 + 0.969606i \(0.421320\pi\)
\(492\) 12.5386 + 22.1421i 0.565282 + 0.998244i
\(493\) 3.62548i 0.163284i
\(494\) 11.6427 19.1332i 0.523828 0.860843i
\(495\) 14.4135 + 16.1523i 0.647838 + 0.725990i
\(496\) −6.09289 4.31131i −0.273579 0.193584i
\(497\) −6.81072 20.9612i −0.305503 0.940241i
\(498\) 13.5070 6.25330i 0.605263 0.280217i
\(499\) 29.5012i 1.32066i −0.750978 0.660328i \(-0.770417\pi\)
0.750978 0.660328i \(-0.229583\pi\)
\(500\) −19.0430 + 11.7202i −0.851631 + 0.524143i
\(501\) −6.56946 + 23.1595i −0.293502 + 1.03469i
\(502\) −14.0366 16.3311i −0.626486 0.728892i
\(503\) 15.6724 5.09227i 0.698798 0.227053i 0.0619914 0.998077i \(-0.480255\pi\)
0.636807 + 0.771023i \(0.280255\pi\)
\(504\) 27.7946 20.4654i 1.23807 0.911600i
\(505\) 10.1181 33.9780i 0.450248 1.51200i
\(506\) 18.0247 + 10.9681i 0.801296 + 0.487593i
\(507\) 39.2060 + 11.1212i 1.74120 + 0.493911i
\(508\) 29.8061 30.1814i 1.32243 1.33908i
\(509\) 3.01849 + 4.15459i 0.133792 + 0.184149i 0.870656 0.491892i \(-0.163694\pi\)
−0.736864 + 0.676041i \(0.763694\pi\)
\(510\) 1.34477 + 9.26334i 0.0595474 + 0.410188i
\(511\) 6.42776 8.84706i 0.284348 0.391371i
\(512\) −2.40960 22.4988i −0.106490 0.994314i
\(513\) 2.71683 13.3420i 0.119951 0.589062i
\(514\) 12.9870 + 15.1099i 0.572832 + 0.666467i
\(515\) −0.216417 8.74671i −0.00953648 0.385426i
\(516\) 17.9095 + 2.03361i 0.788423 + 0.0895248i
\(517\) −10.5684 3.43389i −0.464799 0.151022i
\(518\) 3.08152 13.0147i 0.135394 0.571832i
\(519\) −12.7498 + 19.0191i −0.559654 + 0.834846i
\(520\) −29.8965 23.8190i −1.31105 1.04453i
\(521\) 2.25435 0.732482i 0.0987648 0.0320906i −0.259218 0.965819i \(-0.583465\pi\)
0.357983 + 0.933728i \(0.383465\pi\)
\(522\) −8.01993 4.08530i −0.351023 0.178809i
\(523\) 28.8397 + 20.9533i 1.26107 + 0.916222i 0.998810 0.0487748i \(-0.0155317\pi\)
0.262262 + 0.964997i \(0.415532\pi\)
\(524\) −0.170725 0.0856477i −0.00745816 0.00374154i
\(525\) −18.1447 + 30.1957i −0.791902 + 1.31785i
\(526\) −8.37364 + 35.3657i −0.365108 + 1.54202i
\(527\) 1.87441 2.57990i 0.0816505 0.112382i
\(528\) 17.4049 14.0341i 0.757451 0.610756i
\(529\) 0.502477 + 1.54647i 0.0218468 + 0.0672376i
\(530\) −16.7317 + 15.1165i −0.726779 + 0.656617i
\(531\) −27.7582 + 23.5630i −1.20460 + 1.02255i
\(532\) −9.55917 + 19.0547i −0.414443 + 0.826126i
\(533\) 13.7191 42.2230i 0.594239 1.82888i
\(534\) 2.17962 + 18.1639i 0.0943215 + 0.786030i
\(535\) −12.7898 + 42.9501i −0.552952 + 1.85690i
\(536\) 2.18281 + 8.73029i 0.0942829 + 0.377091i
\(537\) −13.5304 + 4.96842i −0.583881 + 0.214403i
\(538\) −2.60868 6.24261i −0.112468 0.269138i
\(539\) −24.9248 18.1089i −1.07359 0.780006i
\(540\) −22.0068 7.46343i −0.947020 0.321175i
\(541\) 18.3009 13.2964i 0.786819 0.571657i −0.120199 0.992750i \(-0.538353\pi\)
0.907018 + 0.421092i \(0.138353\pi\)
\(542\) 36.0971 + 21.9653i 1.55050 + 0.943490i
\(543\) −15.7133 4.45726i −0.674322 0.191279i
\(544\) 9.62458 0.909136i 0.412651 0.0389789i
\(545\) 9.53372 3.36060i 0.408380 0.143952i
\(546\) −59.0830 11.6531i −2.52852 0.498706i
\(547\) −10.9627 33.7396i −0.468729 1.44260i −0.854231 0.519894i \(-0.825972\pi\)
0.385501 0.922707i \(-0.374028\pi\)
\(548\) 13.3832 + 25.8647i 0.571703 + 1.10489i
\(549\) 15.7576 + 9.72191i 0.672517 + 0.414921i
\(550\) −10.8835 + 20.0565i −0.464074 + 0.855214i
\(551\) 5.55892 0.236818
\(552\) −22.6378 0.710995i −0.963528 0.0302619i
\(553\) 9.85766 3.20295i 0.419190 0.136203i
\(554\) −8.30013 + 0.679365i −0.352639 + 0.0288635i
\(555\) −8.37313 + 3.31190i −0.355419 + 0.140582i
\(556\) 2.13216 + 2.10564i 0.0904236 + 0.0892992i
\(557\) 15.8708 0.672466 0.336233 0.941779i \(-0.390847\pi\)
0.336233 + 0.941779i \(0.390847\pi\)
\(558\) 3.59486 + 7.05348i 0.152183 + 0.298598i
\(559\) −18.4846 25.4419i −0.781816 1.07608i
\(560\) 30.2107 + 20.2745i 1.27664 + 0.856756i
\(561\) 5.90248 + 7.51058i 0.249203 + 0.317097i
\(562\) 9.62186 + 23.0252i 0.405874 + 0.971261i
\(563\) 11.9500 + 16.4477i 0.503632 + 0.693190i 0.982829 0.184517i \(-0.0590722\pi\)
−0.479197 + 0.877707i \(0.659072\pi\)
\(564\) 11.6880 2.38258i 0.492152 0.100325i
\(565\) 14.7809 5.21020i 0.621836 0.219195i
\(566\) −4.87759 + 2.03826i −0.205021 + 0.0856746i
\(567\) −36.1932 + 5.50834i −1.51997 + 0.231329i
\(568\) 11.7461 + 9.84295i 0.492854 + 0.413001i
\(569\) −0.353267 0.114783i −0.0148097 0.00481197i 0.301603 0.953434i \(-0.402478\pi\)
−0.316412 + 0.948622i \(0.602478\pi\)
\(570\) 14.2034 2.06192i 0.594915 0.0863644i
\(571\) −1.76725 + 0.574214i −0.0739571 + 0.0240301i −0.345762 0.938322i \(-0.612380\pi\)
0.271805 + 0.962352i \(0.412380\pi\)
\(572\) −38.5659 5.86115i −1.61252 0.245067i
\(573\) −3.31546 4.21874i −0.138505 0.176240i
\(574\) −9.73610 + 41.1200i −0.406377 + 1.71632i
\(575\) 21.6044 8.22174i 0.900967 0.342870i
\(576\) −8.83415 + 22.3150i −0.368090 + 0.929790i
\(577\) −7.63108 + 10.5033i −0.317686 + 0.437257i −0.937759 0.347287i \(-0.887103\pi\)
0.620073 + 0.784544i \(0.287103\pi\)
\(578\) −1.62431 19.8449i −0.0675622 0.825440i
\(579\) 14.0929 0.532379i 0.585681 0.0221249i
\(580\) 1.19305 9.41204i 0.0495388 0.390814i
\(581\) 23.5080 + 7.63823i 0.975278 + 0.316887i
\(582\) 18.7374 33.5853i 0.776690 1.39215i
\(583\) −7.11091 + 21.8851i −0.294504 + 0.906389i
\(584\) −0.525424 + 7.58560i −0.0217422 + 0.313894i
\(585\) 16.3250 + 37.1117i 0.674957 + 1.53438i
\(586\) −8.44961 9.83078i −0.349050 0.406106i
\(587\) 20.1814 + 27.7773i 0.832974 + 1.14649i 0.987362 + 0.158480i \(0.0506594\pi\)
−0.154388 + 0.988010i \(0.549341\pi\)
\(588\) 32.8600 + 3.73123i 1.35512 + 0.153873i
\(589\) −3.95574 2.87401i −0.162993 0.118422i
\(590\) −33.2705 19.1340i −1.36972 0.787735i
\(591\) −7.57258 + 2.78068i −0.311494 + 0.114382i
\(592\) 2.98418 + 8.80783i 0.122649 + 0.361999i
\(593\) 27.4395 1.12681 0.563403 0.826182i \(-0.309492\pi\)
0.563403 + 0.826182i \(0.309492\pi\)
\(594\) −23.2652 + 4.59373i −0.954583 + 0.188483i
\(595\) −8.82300 + 12.7980i −0.361708 + 0.524665i
\(596\) −25.9877 3.94954i −1.06450 0.161779i
\(597\) 25.5218 0.964120i 1.04454 0.0394588i
\(598\) 25.7575 + 29.9679i 1.05330 + 1.22548i
\(599\) 15.6130 0.637931 0.318965 0.947766i \(-0.396665\pi\)
0.318965 + 0.947766i \(0.396665\pi\)
\(600\) −0.442799 24.4909i −0.0180772 0.999837i
\(601\) 22.0342 0.898793 0.449396 0.893333i \(-0.351639\pi\)
0.449396 + 0.893333i \(0.351639\pi\)
\(602\) 19.5109 + 22.7002i 0.795205 + 0.925189i
\(603\) 2.25626 9.27442i 0.0918822 0.377683i
\(604\) −11.2550 1.71051i −0.457959 0.0695995i
\(605\) −0.0323941 1.30924i −0.00131701 0.0532282i
\(606\) 26.4082 + 28.4757i 1.07276 + 1.15675i
\(607\) 37.2252 1.51092 0.755462 0.655192i \(-0.227412\pi\)
0.755462 + 0.655192i \(0.227412\pi\)
\(608\) −1.39397 14.7573i −0.0565329 0.598487i
\(609\) −5.15214 14.0308i −0.208775 0.568555i
\(610\) −4.02559 + 19.0972i −0.162992 + 0.773222i
\(611\) −16.8369 12.2328i −0.681150 0.494884i
\(612\) −9.48596 3.89333i −0.383447 0.157379i
\(613\) −16.8794 23.2326i −0.681754 0.938355i 0.318199 0.948024i \(-0.396922\pi\)
−0.999953 + 0.00966950i \(0.996922\pi\)
\(614\) −6.59859 7.67720i −0.266297 0.309826i
\(615\) 26.4550 10.4640i 1.06677 0.421949i
\(616\) 37.0406 + 2.56565i 1.49241 + 0.103373i
\(617\) −12.6400 + 38.9018i −0.508866 + 1.56613i 0.285308 + 0.958436i \(0.407904\pi\)
−0.794173 + 0.607691i \(0.792096\pi\)
\(618\) 8.36998 + 4.66965i 0.336690 + 0.187841i
\(619\) 30.5204 + 9.91668i 1.22672 + 0.398585i 0.849524 0.527549i \(-0.176889\pi\)
0.377194 + 0.926134i \(0.376889\pi\)
\(620\) −5.71509 + 6.08081i −0.229523 + 0.244211i
\(621\) 20.9064 + 11.8330i 0.838944 + 0.474842i
\(622\) 1.29416 + 15.8114i 0.0518910 + 0.633978i
\(623\) −17.8572 + 24.5784i −0.715436 + 0.984713i
\(624\) 39.1234 14.9244i 1.56619 0.597452i
\(625\) 10.0365 + 22.8969i 0.401460 + 0.915877i
\(626\) 0.807553 3.41067i 0.0322763 0.136318i
\(627\) 11.5159 9.05021i 0.459901 0.361431i
\(628\) 13.4093 + 2.03791i 0.535089 + 0.0813215i
\(629\) −3.77875 + 1.22779i −0.150669 + 0.0489552i
\(630\) −18.3683 33.9384i −0.731813 1.35214i
\(631\) 12.5237 + 4.06919i 0.498560 + 0.161992i 0.547493 0.836810i \(-0.315582\pi\)
−0.0489334 + 0.998802i \(0.515582\pi\)
\(632\) −4.62894 + 5.52394i −0.184130 + 0.219730i
\(633\) −28.0020 18.7716i −1.11298 0.746105i
\(634\) 17.4752 7.30261i 0.694031 0.290024i
\(635\) −28.8164 37.6666i −1.14354 1.49475i
\(636\) −4.93386 24.2034i −0.195640 0.959728i
\(637\) −33.9152 46.6802i −1.34377 1.84954i
\(638\) −3.73306 8.93327i −0.147793 0.353672i
\(639\) −6.17492 15.0360i −0.244276 0.594814i
\(640\) −25.2853 0.807015i −0.999491 0.0319001i
\(641\) 11.4977 + 15.8252i 0.454130 + 0.625057i 0.973279 0.229627i \(-0.0737508\pi\)
−0.519148 + 0.854684i \(0.673751\pi\)
\(642\) −33.3814 35.9949i −1.31746 1.42061i
\(643\) −39.4122 −1.55426 −0.777132 0.629337i \(-0.783327\pi\)
−0.777132 + 0.629337i \(0.783327\pi\)
\(644\) −26.7618 26.4290i −1.05456 1.04145i
\(645\) 5.01818 19.5173i 0.197591 0.768494i
\(646\) 6.31192 0.516630i 0.248339 0.0203265i
\(647\) 28.7039 9.32647i 1.12847 0.366661i 0.315474 0.948934i \(-0.397836\pi\)
0.812994 + 0.582273i \(0.197836\pi\)
\(648\) 19.3015 16.5968i 0.758234 0.651983i
\(649\) −39.1671 −1.53744
\(650\) −30.9930 + 29.4256i −1.21565 + 1.15417i
\(651\) −3.58775 + 12.6480i −0.140615 + 0.495715i
\(652\) 13.6768 + 26.4321i 0.535625 + 1.03516i
\(653\) 13.6778 + 42.0958i 0.535252 + 1.64734i 0.743104 + 0.669175i \(0.233353\pi\)
−0.207853 + 0.978160i \(0.566647\pi\)
\(654\) −2.14277 + 10.8642i −0.0837891 + 0.424824i
\(655\) −0.121209 + 0.175817i −0.00473604 + 0.00686973i
\(656\) −9.42855 27.8284i −0.368123 1.08652i
\(657\) 4.23473 6.86379i 0.165212 0.267782i
\(658\) 16.9222 + 10.2973i 0.659695 + 0.401429i
\(659\) 14.3375 10.4168i 0.558508 0.405780i −0.272405 0.962183i \(-0.587819\pi\)
0.830913 + 0.556403i \(0.187819\pi\)
\(660\) −12.8518 21.4404i −0.500254 0.834567i
\(661\) 3.16991 + 2.30308i 0.123295 + 0.0895793i 0.647724 0.761875i \(-0.275721\pi\)
−0.524429 + 0.851454i \(0.675721\pi\)
\(662\) 13.4296 + 32.1373i 0.521958 + 1.24905i
\(663\) 6.16670 + 16.7937i 0.239495 + 0.652213i
\(664\) −16.6737 + 4.16886i −0.647063 + 0.161783i
\(665\) 19.6230 + 13.5282i 0.760947 + 0.524602i
\(666\) 1.54201 9.74247i 0.0597515 0.377513i
\(667\) −3.03078 + 9.32779i −0.117352 + 0.361174i
\(668\) 12.4645 24.8461i 0.482268 0.961325i
\(669\) 12.1828 18.1733i 0.471013 0.702619i
\(670\) 10.0043 1.06855i 0.386501 0.0412818i
\(671\) 6.15471 + 18.9422i 0.237600 + 0.731257i
\(672\) −35.9555 + 17.1958i −1.38701 + 0.663342i
\(673\) −8.48668 + 11.6809i −0.327138 + 0.450266i −0.940630 0.339435i \(-0.889764\pi\)
0.613492 + 0.789701i \(0.289764\pi\)
\(674\) 3.49744 14.7713i 0.134716 0.568969i
\(675\) −11.6636 + 23.2155i −0.448930 + 0.893567i
\(676\) −42.0612 21.1008i −1.61774 0.811570i
\(677\) −21.0140 15.2675i −0.807632 0.586779i 0.105511 0.994418i \(-0.466352\pi\)
−0.913143 + 0.407639i \(0.866352\pi\)
\(678\) −3.32211 + 16.8436i −0.127585 + 0.646876i
\(679\) 60.7409 19.7359i 2.33102 0.757394i
\(680\) 0.479933 10.7979i 0.0184046 0.414079i
\(681\) −33.7376 22.6166i −1.29283 0.866670i
\(682\) −1.96213 + 8.28696i −0.0751337 + 0.317324i
\(683\) 29.3508 + 9.53665i 1.12308 + 0.364910i 0.810941 0.585127i \(-0.198956\pi\)
0.312136 + 0.950037i \(0.398956\pi\)
\(684\) −5.96961 + 14.5447i −0.228254 + 0.556132i
\(685\) 30.7075 10.8243i 1.17327 0.413575i
\(686\) 9.54993 + 11.1110i 0.364618 + 0.424218i
\(687\) 15.6039 5.72982i 0.595327 0.218606i
\(688\) −19.8733 6.18341i −0.757662 0.235740i
\(689\) −25.3316 + 34.8660i −0.965057 + 1.32829i
\(690\) −4.28397 + 24.9573i −0.163088 + 0.950108i
\(691\) −1.42181 1.95695i −0.0540881 0.0744459i 0.781116 0.624386i \(-0.214651\pi\)
−0.835204 + 0.549940i \(0.814651\pi\)
\(692\) 18.5782 18.8121i 0.706237 0.715129i
\(693\) −33.5160 20.6783i −1.27317 0.785502i
\(694\) −18.7675 11.4201i −0.712403 0.433502i
\(695\) 2.66094 2.03572i 0.100935 0.0772194i
\(696\) 8.21210 + 6.36971i 0.311279 + 0.241443i
\(697\) 11.9390 3.87922i 0.452222 0.146936i
\(698\) −2.07607 2.41543i −0.0785804 0.0914252i
\(699\) 17.1398 + 4.86189i 0.648285 + 0.183894i
\(700\) 27.1167 30.3211i 1.02491 1.14603i
\(701\) 24.7792i 0.935897i −0.883756 0.467949i \(-0.844993\pi\)
0.883756 0.467949i \(-0.155007\pi\)
\(702\) −44.0981 5.28225i −1.66438 0.199366i
\(703\) 1.88256 + 5.79392i 0.0710020 + 0.218522i
\(704\) −22.7791 + 12.1503i −0.858518 + 0.457932i
\(705\) −0.832922 13.3102i −0.0313697 0.501292i
\(706\) 2.95037 4.84854i 0.111039 0.182477i
\(707\) 64.4940i 2.42555i
\(708\) 36.5848 20.7171i 1.37494 0.778596i
\(709\) −20.9371 + 15.2117i −0.786310 + 0.571287i −0.906866 0.421419i \(-0.861532\pi\)
0.120556 + 0.992706i \(0.461532\pi\)
\(710\) 12.7135 11.4862i 0.477131 0.431069i
\(711\) 7.07112 2.90394i 0.265188 0.108906i
\(712\) 1.45970 21.0739i 0.0547047 0.789777i
\(713\) 6.97926 5.07073i 0.261375 0.189900i
\(714\) −7.15401 15.4525i −0.267732 0.578295i
\(715\) −12.4471 + 41.7992i −0.465495 + 1.56320i
\(716\) 16.4221 2.70643i 0.613723 0.101144i
\(717\) 28.0617 41.8602i 1.04798 1.56330i
\(718\) 1.90847 + 0.451874i 0.0712236 + 0.0168638i
\(719\) 7.67165 23.6109i 0.286104 0.880539i −0.699961 0.714181i \(-0.746799\pi\)
0.986065 0.166358i \(-0.0532007\pi\)
\(720\) 23.3451 + 13.2290i 0.870021 + 0.493015i
\(721\) 4.91850 + 15.1376i 0.183174 + 0.563753i
\(722\) 1.39984 + 17.1025i 0.0520966 + 0.636489i
\(723\) −25.5495 32.5103i −0.950195 1.20907i
\(724\) 16.8576 + 8.45696i 0.626508 + 0.314300i
\(725\) −10.2378 2.77488i −0.380222 0.103057i
\(726\) 1.25285 + 0.698971i 0.0464976 + 0.0259412i
\(727\) 6.99800 + 5.08435i 0.259542 + 0.188568i 0.709945 0.704257i \(-0.248720\pi\)
−0.450403 + 0.892825i \(0.648720\pi\)
\(728\) 64.4911 + 26.0068i 2.39020 + 0.963876i
\(729\) −26.3101 + 6.06467i −0.974447 + 0.224617i
\(730\) 8.31847 + 1.75349i 0.307880 + 0.0648997i
\(731\) 2.74785 8.45702i 0.101633 0.312794i
\(732\) −15.7682 14.4379i −0.582811 0.533639i
\(733\) 49.4782 + 16.0764i 1.82752 + 0.593797i 0.999450 + 0.0331691i \(0.0105600\pi\)
0.828068 + 0.560627i \(0.189440\pi\)
\(734\) 9.25035 3.86556i 0.341437 0.142681i
\(735\) 9.20725 35.8099i 0.339615 1.32087i
\(736\) 25.5225 + 5.70677i 0.940773 + 0.210354i
\(737\) 8.30661 6.03511i 0.305978 0.222306i
\(738\) −4.87199 + 30.7814i −0.179340 + 1.13308i
\(739\) 6.41467 8.82904i 0.235968 0.324781i −0.674568 0.738213i \(-0.735670\pi\)
0.910535 + 0.413432i \(0.135670\pi\)
\(740\) 10.2140 1.94395i 0.375473 0.0714610i
\(741\) 25.7496 9.45534i 0.945935 0.347351i
\(742\) 21.3236 35.0425i 0.782813 1.28645i
\(743\) 29.0732i 1.06659i −0.845929 0.533296i \(-0.820953\pi\)
0.845929 0.533296i \(-0.179047\pi\)
\(744\) −2.55055 8.77843i −0.0935076 0.321833i
\(745\) −8.38748 + 28.1664i −0.307293 + 1.03194i
\(746\) 53.0585 4.34283i 1.94261 0.159002i
\(747\) 17.7128 + 4.30915i 0.648079 + 0.157664i
\(748\) −5.06897 9.79641i −0.185340 0.358192i
\(749\) 81.5241i 2.97882i
\(750\) −27.1875 3.29259i −0.992746 0.120228i
\(751\) 23.4495i 0.855686i −0.903853 0.427843i \(-0.859274\pi\)
0.903853 0.427843i \(-0.140726\pi\)
\(752\) −13.7726 + 0.172337i −0.502234 + 0.00628447i
\(753\) −0.995611 26.3554i −0.0362821 0.960444i
\(754\) −1.47921 18.0722i −0.0538697 0.658152i
\(755\) −3.63253 + 12.1986i −0.132201 + 0.443952i
\(756\) 42.2438 + 1.58692i 1.53639 + 0.0577159i
\(757\) 6.39980i 0.232605i 0.993214 + 0.116302i \(0.0371041\pi\)
−0.993214 + 0.116302i \(0.962896\pi\)
\(758\) 26.3671 + 16.0446i 0.957697 + 0.582765i
\(759\) 8.90754 + 24.2578i 0.323323 + 0.880502i
\(760\) −16.5562 0.735877i −0.600558 0.0266931i
\(761\) 0.969420 1.33429i 0.0351414 0.0483680i −0.791085 0.611707i \(-0.790483\pi\)
0.826226 + 0.563339i \(0.190483\pi\)
\(762\) 51.5817 6.18967i 1.86861 0.224228i
\(763\) −14.8773 + 10.8090i −0.538595 + 0.391312i
\(764\) 2.84727 + 5.50271i 0.103011 + 0.199081i
\(765\) −5.77635 + 9.90256i −0.208845 + 0.358028i
\(766\) 9.93230 + 23.7681i 0.358868 + 0.858777i
\(767\) −69.7637 22.6676i −2.51902 0.818480i
\(768\) 14.8504 23.3980i 0.535868 0.844302i
\(769\) −10.2666 + 31.5974i −0.370224 + 1.13943i 0.576421 + 0.817153i \(0.304449\pi\)
−0.946645 + 0.322279i \(0.895551\pi\)
\(770\) 8.56234 40.6192i 0.308565 1.46382i
\(771\) 0.921159 + 24.3845i 0.0331747 + 0.878188i
\(772\) −16.0998 2.44681i −0.579445 0.0880627i
\(773\) 17.3306 + 12.5914i 0.623337 + 0.452881i 0.854085 0.520133i \(-0.174118\pi\)
−0.230749 + 0.973013i \(0.574118\pi\)
\(774\) 15.6114 +